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Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7(x - 4) = x + 2

image1.wmf{-7 ,conditional}

image2.wmf{7, Identity}

image3.wmf{5, conditional}

image4.wmf{2, inconsistent equation}

Solve the following equation. Determine whether the equation is an identity, conditional equation, or an inconsistent equation: 7x + 13 = 2(2x - 5) + 3x + 23

image5.wmfØ; conditional equation

image6.wmfØ; Inconsistent equation

image7.wmfØ; identity equation

image8.wmf{-1}; Inconsistent equation

Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the line containing the points (1, -3) and (-2, 4).

image9.wmf– 3/7

image10.wmf5/9

image11.wmf–2/5

image12.wmf3/8

Find the horizontal asymptote as x --> 8 and then describe what this means in practical terms. F(x) = 150x + 120/0.05x + 1; the number of bass, f(x), after x months in a lake that was stocked with 120 bass.

image13.wmfthe number of bass, f(x), after y months in a lake that was stocked with 130 bass

image14.wmfthe number of bass, f(x), after x months in a lake that was stocked with 120 bass

image15.wmfthe number of bass, f(x), after x months in a lake that was stocked with 140 bass

image16.wmfthe number of bass, f(x), after x months in a lake that was stocked with 150 bass

image17.jpg

Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, to two decimal places, for the solution:

image18.wmf{16/2}

image19.wmf{62/3}

image20.wmf{9/3}

image21.wmf{11/5}

image22.jpg

Solve the following system:

image23.wmf{(4, -1)}

image24.wmf{(1, -3)}

image25.wmf{(4, -2)}

image26.wmf{(1, -5)}

image27.jpg

Solve the following system of equations using matrices:

image28.wmf{(t, t 1, t)}

image29.wmf{(t, t 0, t)}

image30.wmf{(t, t - 2, t)}

image31.wmf{(t, t - 1, t)}

image32.jpg

Solve for x only using Cramer’s Rule.

image33.wmfx = 7

image34.wmfx = 9

image35.wmfx = 2

image36.wmfx = -3

image37.jpg

For the following ellipses determine location of its foci.

image38.wmffoci at (0, 2 + v11), (0, 2 - v11)

image39.wmffoci at (0, 5 + v21), (0, 5 - v21)

image40.wmffoci at (0, 3 + v25), (0, 3 - v25)

image41.wmffoci at (0, 1 + v36), (0, 1 - v36)

You are taking a multiple-choice test that has five questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?

image42.wmf198 ways

image43.wmf290 ways

image44.wmf243 ways

image45.wmf364 ways